Q: What are the prime factors of the number 62,111,556?

 A: 2, 3, 13, 41, 83

Why are those the prime factors of the number 62,111,556?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 62,111,556

62,111,556
Factor Arrows
231,055,778
Factor Arrows
215,527,889
Factor Arrows
35,175,963
Factor Arrows
31,725,321
Factor Arrows
3575,107
Factor Arrows
1344,239
Factor Arrows
133,403
Factor Arrows
4183

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 13, 41, 83

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 13 x 13 x 41 x 83 = 62,111,556

This can also be written as 22 x 33 x 132 x 411 x 831 = 62,111,556

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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